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The numerical stability in solution of differential equations

  • Emil Vitasek
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 109)

Keywords

Arithmetic Operation Lipschitz Condition Numerical Stability Discretization Error Numerical Process 
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References

  1. Babuska, I., M. Prager, and E. Vitasek. [1966]: Numerical Processes in Differential Equations, J. Wiley & Sons, Inc.Google Scholar
  2. Dahlquist, G. [1956]: Convergence and Stability in the Numerical Integration of Ordinary Differential Equations, Math. Scand., 4, 33–53.MathSciNetzbMATHGoogle Scholar
  3. Dahlquist, G. [1959]: Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations, Trans. Roy. Inst. Technol., Stockholm, Nr. 130.Google Scholar
  4. Henrici, P. [1962]: Discrete Variables Methods in Ordinary Differential Equations, J. Wiley & Sons, Inc.Google Scholar
  5. Scraton, R.E. [1964]: The Numerical Solution of Second-Order Differential Equations Not Containing the First Derivative Explicitly, Comp. J., 6, 368–370.MathSciNetCrossRefzbMATHGoogle Scholar
  6. Wilkinson, J.H. [1963]: Rounding Errors in Algebraic Processes, London, H.M.S.O.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • Emil Vitasek

There are no affiliations available

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